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51.
52.
The mechanical properties of particulate systems are studied from a micromechanics point of view. Two approaches, namely, computer simulation and micro-structural continuum modelling are used. The computer simulation method is used to study the uniformity of the strain field and effect of particle rotations. These results are then used to evaluate the applicability of the micro-structural continuum model. Potential applications of the micro-structural continuum model in the study of mechanical properties of soils are discussed. 相似文献
53.
The orbital perturbations induced by the librational motion and flexural oscillations are studied for satellites having large flexible appendages. Using a Lagrangian procedure, the equations for coupled motion are derived for a satellite having an arbitrary number of appendages in the nominal orbital plane and two flexible members normal to it. The formulation enables one to study the influence of flexibility on both the orbital and attitude motions. The orbital coordinates are expanded as perturbation series in =(l/a
0)2,l anda
0 being a characteristic length of the satellite and unperturbed semi-major axis of the orbit, respectively. The first order perturbation equations are solved in terms of elastic deformations and librational angles using the WKBJ method in conjunction with the variation of parameter technique. Existence of secular perturbations is noted for certain librational flexural motions. Three specific examples, Alouette II, Radio Astronomy Explorer and Tethered Orbiting Interferometer, are considered subsequently and their possible secular drifts estimated.List of Symbols
A
ij, Bij
coefficients in the eigenfunction expansion ofv
i andw
i respectively, Equation (10)
-
C
k, Dk
constants, Equation (21)
-
EI
i
flexural rigidity of theith appendage
-
E(u0)
2(1+e
0 cosu
0)2
h
0
3
-
F(u0)
perturbation function, Equation (17b)
-
F
,F
,F
functions of librational angles and flexural displacements, Equation (11i)
-
F
,F
,F
F
,F
,F
with change of independent variable fromt tou
0
-
I
xx, Iyy, Izz
principal moments of inertia of the undeformed satellite
- [J
i]
inertia dyadic of the deformedith appendage
- [J
d]
inertia dyadic of the deformed satellite
-
M
mass of the satellite
-
P
R, Pu
functions of librational angles and flexural displacements, Equation (15d) and (15e), respectively
-
R
c
magnitude ofR
c
-
R
c0, R1
unperturbed value and first order perturbation ofR
c, respectively
-
R
c
,R
0
position vectors of the c.m. of the deformed and undeformed satellite, respectively
-
T
kinetic energy of the satellite
-
U
potential energy of the satellite
-
U
e, Ug
elastic and gravitational potential energy, respectively
-
X, Y, Z
orbital co-ordinate axes, located at the c.m. of the deformed satellite
-
Y
1(u0), Y2(u0)
functions ofu
0, Equation (18b) and (18c), respectively
-
a
semi-major axis
-
a
0
unperturbed value ofa
-
e
eccentricity
-
e
0
unperturbed value ofe
-
h
0
unperturbed angular momentum per unit mass of the satellite
-
i
inclination of the orbital plane to the ecliptic
-
i, j, k
unit vectors alongx (or ),y (or ) andz (or ) axes, respectively
-
l
characteristic length of the satellite
-
l
i
length of theith appendage
- [l
i]
matrix of direction cosines ofx
i, vi andw
i
-
l
,l
,l
direction cosines ofR
c
-
m
0, mi
mass of the main body andith appendage, respectively
-
p
i
2
-
q
m, Qm
generalized co-ordinate and force, respectively
-
r
1
R
1/Rc0
-
r
position vector of an element of the body referred toxyz axes
-
r
u
position vector of an element after deformation, referred to axes
-
r
c
x
c
i+y
c
j+z
c
k, position vector of the c.m. of the deformed body referred toxyz axes
-
s
x
i/li
-
t
time
-
u
true anomaly
-
u
0, u1
unperturbed value and the first order perturbation ofu, respectively
-
u
elastic displacement vector
-
u
c
u–r
c
-
velocity of an element relative to axes
-
v
i, wi
flexural deformations
-
x, y, z
body co-ordinate axes with origin at the c.m. of the undeformed satellite
-
x
i
distance of an element of theith appendage from the root
-
j
jth eigenfunction (normalized) of a cantilever
-
angle between the line of nodes and vernal equinox
-
,
,
components of nondimensionalized angular velocity of the satellite
- , ,
pitch (spin), yaw and roll, respectively
- i
nominal inclination of theith appendage in the orbital plane
-
-
small parameter, (l/a
0)2
- j
jth eigenvalue of a cantilever
-
gravitational constant
-
jk
constant, Equation (11j)
- , ,
body co-ordinate axes with origin at the c.m. of the deformed satellite
-
(
i +
j +
k), angular velocity of the satellite 相似文献
54.
Bearing capacity of rectangular footing on reinforced soil 总被引:2,自引:4,他引:2
In the present paper, a method of analysis for calculating the pressure intensity corresponding to a given settlement for
a rectangular footing resting on reinforced soil foundation has been presented. The process has been simplified by presenting
non-dimensional charts for the various terms used in the analysis, which can be directly used by practicing engineers. An
empirical method has been suggested to find out the ultimate bearing capacity of footing on reinforced soil. The results have
been validated with large-scale model tests also. The procedure has been made clear by giving an illustrative example.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
55.
Extensive laboratory drilling investigations were conducted on a wide variety of rocks to study the inter-dependence of machine as well as rock parameters on the performance of the drilling operation. Detailed physical and mechanical properties of all the rock types were determined to study the influence of the rock properties on the drilling performance. The effect of PEO (poly-ethylene-oxide) added to the drilling water was also studied. Slake durability tests were conducted in plain water as well as a PEO mixed water medium to observe the effects of PEO on the surface properties of the rock. An attempt is also made to understand the different modes of wear of impregnated diamond bits in the rotary drilling operation. 相似文献
56.
The A-type Mayurbhanj Granite Pluton (3.09 Ga), occurring along the eastern margin of the Singhbhum-Orissa Craton, eastern India, represents the final phase of acid plutonism in this crustal block of Archean age. The granite shows a bimodal association with a voluminous gabbroid body, exposed mainly along its western margin, and is associated with the Singhbhum Shear zone. The granite pluton is composed mainly of a coarse ferrohastingsite–biotite granite phase, with an early fine-grained granophyric microgranitic phase and a late biotite aplogranitic phase. Petrogenetic models of partial melting, fractional crystallisation and magma mixing have been advocated for the evolution of this pluton. New data, combined with earlier information, suggest that two igneous processes were responsible for the evolution of the Mayurbhanj Granite Pluton: partial melting of the Singhbhum Granite; followed by limited amount of mixing of acid and basic magmas in an anorogenic extensional setting. The necessary heat for partial melting was provided by the voluminous basaltic magma, now represented by the gabbroid body, emplaced at a shallow crustal level and showing a bimodal association with the Mayurbhanj Granite Pluton. The Singhbhum Shear Zone provided a possible channel way for the emplacement of the basic magma during crustal extension. It is concluded that all three phases of the Mayurbhanj Granite Pluton were derived from the same parent magma, generated by batch partial melting of the Singhbhum Granite at relatively high temperatures (980 °C) and low pressures (4 to <2 kbar) under anhydrous conditions. The coarse ferrohastingsite biotite granite phase shows evidence of limited and heterogeneous assimilation of country rock metasediments. However, the early microgranite phase and late aplogranite phase have not assimilated any metasediments. Compositional irregularities observed along the western margin of the Mayurbhanj Granite Pluton in contact with the gabbro body including a continuous fractionating sequence from quartz diorite to alkali-feldspar granite in the Notopahar area. Gradational contacts between the gabbro and the Mayurbhanj Granite Pluton in the Gorumahisani area etc., may be attributed to a limited amount of mixing between the gabbroid magma and the newly generated Mayurbhanj Granite magma. The mixing was mainly of liquid–liquid diffusive type, with a subordinate amount of mixing of solid–liquid type. Although A-type granites are commonly described as having high total REE (e.g. 270–400 ppm), studies on the late aplogranite phase of the Mayurbhanj Granite show that total REE values (100 ppm) are low. This low REE abundance may be attributed to the progressive residual nature of the Singhbhum Granite source during continued partial melting, when the magmas of the microgranite and coarse granite phases had already been removed from the source region. 相似文献
57.
Keshav Kumar Singh Shivani Poonam Tandan Alka Misra 《Astrophysics and Space Science》2018,363(10):213
Ethanimine (CH3CHNH) is an important prebiotic molecule since it is a precursor of amino acid \(\alpha \)-alanine in Strecker synthesis. Two isomers (E and Z) of ethanimine were detected in the molecular cloud Sagittarius B2 north during GBT-PRIMOS survey. A possible radical-molecule reaction pathway has been proposed for the formation of ethanimine in the interstellar medium (ISM) from some previously detected interstellar molecules like methylene (both triplet CH2 (3B1) and singlet CH2 (1A1)) and methyenimine (CH2NH). The mechanism has been studied in the gas phase and in water ice with the help of density functional theory at B2PLYPD/6-311++G (2d, p) level of theory. It is observed that E-ethanimine forms efficiently in gas phase but ice reactions are favorable only in the hot core of molecular clouds. Same is true for the formation of Z-ethanimine which forms only at the surface of water cluster as the height of entrance barrier for formation of Z-ethanimine is similar to that of E-ethanimine. Isomerization from E to Z form is also studied and found to be forbidden due to large entrance barrier. Out of the two reaction system CH2 (3B1) + CH2NH and CH2 (1A1) + CH2NH, later is more favorable then the former one due to the small entrance barrier. Still, much of the detected abundance of ethanimine comes from the reaction of CH2 (3B1) with CH2NH as since CH2 (1A1) has very low abundance compared to the CH2 (3B1) in ISM. The proposed pathway seems to be a promising candidate for the ethanimine formation in ISM. 相似文献
58.
Kalyani Bagri Ranjeev Misra Anjali Rao Jagdish Singh Yadav Shiv Kumar Pandey 《天文和天体物理学研究(英文版)》2018,(5)
One of the popular models for the low/hard state of black hole binaries is that the standard accretion disk is truncated and the hot inner region produces, via Comptonization, hard X-ray flux.This is supported by the value of the high energy photon index, which is often found to be small,~ 1.7( 2), implying that the hot medium is starved of seed photons. On the other hand, the suggestive presence of a broad relativistic Fe line during the hard state would suggest that the accretion disk is not truncated but extends all the way to the innermost stable circular orbit. In such a case, it is a puzzle why the hot medium would remain photon starved. The broad Fe line should be accompanied by a broad smeared reflection hump at ~ 30 ke V and it may be that this additional component makes the spectrum hard and the intrinsic photon index is larger, i.e. 2. This would mean that the medium is not photon deficient, reconciling the presence of a broad Fe line in the observed hard state. To test this hypothesis,we have analyzed the RXTE observations of GX 339–4 from the four outbursts during 2002–2011 and identify observations when the system was in the hard state and showed a broad Fe line. We have then attempted to fit these observations with models, which include smeared reflection, to understand whether the intrinsic photon index can indeed be large. We find that, while for some observations the inclusion of reflection does increase the photon index, there are hard state observations with a broad Fe line that have photon indices less than 2. 相似文献
59.
Amit Kumar Akshaya Verma Anupam Anand Gokhale Rakesh Bhambri Anshuman Misra Shipika Sundriyal Dwarika Prasad Dobhal Naval Kishore 《国际泥沙研究》2018,33(4):493-509
Integrated hydrometeorological investigations are not frequently available at a regional scale over a longer time period, especially near the terminus of Indian Himalayan glaciers. An integrated approach to the collection of hydrological data has major advantages for understanding the runoff generation mechanisms at basin scale, particularly when coupled with meteorological observations. The current study involves time series analysis of hydrometeorological records collected near the terminus of the Chorabari Glacier, for four consecutive ablation seasons(June-Sept.) 2009-2012. The analysis shows that variation in rainfall was higher(c_v= 0.9) at the same elevation over proximal sites, while the intensity of extreme rainfall events was 121-160 mm/d. The diurnal temperature range(DTR) has a tendency to reduce over the ablation season because of the onset of the Indian Summer Monsoon(ISM) and then further increases during the ISM withdrawal indicating humid-temperate conditions. The peak discharge(Qpeak) was found to be higher during July and August. Snow and glacier melt contributed 76% of the total suspended sediment transport during peak ISM months(July and August) reflecting seasonal evolution of the hydrologic conduits. The results indicate that Karakoram and western Himalayan glaciers produce comparatively low sediment yield compared to central Himalayan glaciers. The hydrological variations are depicted through flow duration curves(FDC) for meltwater discharge and sediment load. The flow corresponding to Q_(50), Q_(75), and Q_(90)(where Qx is the discharge that is exceeded x percent of the time referred to as % dependability) are 4.2, 3.7, and 2.8 m~3/s; and the corresponding dependability for suspended sediment loads(SSLs) are 409.0, 266.0, and 157.2 t/d, respectively. The daily SSL and discharge(Q) from 2009 to 2012 were used to develop a sediment rating curve(SSL = 39.55 × Q~(1.588). R~2 = 0.8).Multiple regressions are used to determine the impacts of meteorological parameters on glacier melt.The meteorological conditions, hydrological characteristics, and suspended sediment delivery for the Chorabari Glacier provide insight on meltwater generation processes and sediment transport patterns during the ISM season. 相似文献
60.
Thermosolutal-convective instability of a stellar atmosphere in the presence of a stable solute gradient is considered to include the effects, separately, due to finite Larmor radius (FLR) and Hall currents in the presence of a uniform horizontal magnetic field. The criteria derived for monotonic instability are found to hold true in the presence of FLR and Hall effects. 相似文献